Consider the potential well of depth V, and width w, as shown in the figure above. An electron with energy & > 0 is incident from the left. (a) Determine the condition involving the incident energy (E) and the depth (V.) and width (w) of the well for resonant transmission in which there is no reflected wave associated with the electron. (b) If 4(x) = Aekx is the incident electron wave for x < 0, what are the wave functions inside (0 < x < w) and outside (x > w) the well, under resonant conditions?
Consider the potential well of depth V, and width w, as shown in the figure above. An electron with energy & > 0 is incident from the left. (a) Determine the condition involving the incident energy (E) and the depth (V.) and width (w) of the well for resonant transmission in which there is no reflected wave associated with the electron. (b) If 4(x) = Aekx is the incident electron wave for x < 0, what are the wave functions inside (0 < x < w) and outside (x > w) the well, under resonant conditions?
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Transcribed Image Text:V,E
-V.
Consider the potential well of depth V, and width w, as shown in the figure above. An
electron with energy Ɛ > 0 is incident from the left.
(a) Determine the condition involving the incident energy (E) and the depth (V.) and width
(w) of the well for resonant transmission in which there is no reflected wave associated
with the electron.
(b) If 4(x) = Aejkx is the incident electron wave for x < 0, what are the wave functions
inside (0 < x < w) and outside (x > w) the well, under resonant conditions?
Expert Solution
Step 1
Given that:
Vo=Depth of the potential well
w= Width of the potential
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